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1. A vending machine pours an average of 8.0 oz of coffee with a standard deviation...

1. A vending machine pours an average of 8.0 oz of coffee with a standard deviation of 0.2 oz if it is functioning properly. An inspector wants to take 16 cups of coffee from the machine to see if the machine is functioning well or not. He wants to have a significance level (alpha ) of 4%. (i) State the null and the alternative hypothesis . Is it a one-sided or two-sided test problem? (ii) Compute the power of test when the true average is equal to 7.8. (iii)Suppose the average of a sample of 16 cups turned out to be equal to 7.7 oz. Find the p-value ? (iv) Should the null hypothesis be rejected at alpha= 4% ?

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